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148,148

148,148 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

148,148 (one hundred forty-eight thousand one hundred forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 7 × 11 × 13 × 37. Its proper divisors sum to 209,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x242B4.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,024
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
841,841
Recamán's sequence
a(212,120) = 148,148
Square (n²)
21,947,829,904
Cube (n³)
3,251,527,104,617,792
Divisor count
48
σ(n) — sum of divisors
357,504
φ(n) — Euler's totient
51,840
Sum of prime factors
72

Primality

Prime factorization: 2 2 × 7 × 11 × 13 × 37

Nearest primes: 148,147 (−1) · 148,151 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 11 · 13 · 14 · 22 · 26 · 28 · 37 · 44 · 52 · 74 · 77 · 91 · 143 · 148 · 154 · 182 · 259 · 286 · 308 · 364 · 407 · 481 · 518 · 572 · 814 · 962 · 1001 · 1036 · 1628 · 1924 · 2002 · 2849 · 3367 · 4004 · 5291 · 5698 · 6734 · 10582 · 11396 · 13468 · 21164 · 37037 · 74074 (half) · 148148
Aliquot sum (sum of proper divisors): 209,356
Factor pairs (a × b = 148,148)
1 × 148148
2 × 74074
4 × 37037
7 × 21164
11 × 13468
13 × 11396
14 × 10582
22 × 6734
26 × 5698
28 × 5291
37 × 4004
44 × 3367
52 × 2849
74 × 2002
77 × 1924
91 × 1628
143 × 1036
148 × 1001
154 × 962
182 × 814
259 × 572
286 × 518
308 × 481
364 × 407
First multiples
148,148 · 296,296 (double) · 444,444 · 592,592 · 740,740 · 888,888 · 1,037,036 · 1,185,184 · 1,333,332 · 1,481,480

Sums & aliquot sequence

As consecutive integers: 21,161 + 21,162 + … + 21,167 18,515 + 18,516 + … + 18,522 13,463 + 13,464 + … + 13,473 11,390 + 11,391 + … + 11,402
Aliquot sequence: 148,148 209,356 209,412 413,308 443,492 465,052 520,772 539,770 673,286 336,646 168,326 84,166 42,086 26,818 19,838 17,122 12,254 — unresolved within range

Continued fraction of √n

√148,148 = [384; (1, 8, 1, 768)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand one hundred forty-eight
Ordinal
148148th
Binary
100100001010110100
Octal
441264
Hexadecimal
0x242B4
Base64
AkK0
One's complement
4,294,819,147 (32-bit)
Scientific notation
1.48148 × 10⁵
As a duration
148,148 s = 1 day, 17 hours, 9 minutes, 8 seconds
In other bases
ternary (3) 21112012222
quaternary (4) 210022310
quinary (5) 14220043
senary (6) 3101512
septenary (7) 1154630
nonary (9) 245188
undecimal (11) a1340
duodecimal (12) 71898
tridecimal (13) 52580
tetradecimal (14) 3bdc0
pentadecimal (15) 2dd68

As an angle

148,148° = 411 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμηρμηʹ
Mayan (base 20)
𝋲·𝋪·𝋧·𝋨
Chinese
一十四萬八千一百四十八
Chinese (financial)
壹拾肆萬捌仟壹佰肆拾捌
In other modern scripts
Eastern Arabic ١٤٨١٤٨ Devanagari १४८१४८ Bengali ১৪৮১৪৮ Tamil ௧௪௮௧௪௮ Thai ๑๔๘๑๔๘ Tibetan ༡༤༨༡༤༨ Khmer ១៤៨១៤៨ Lao ໑໔໘໑໔໘ Burmese ၁၄၈၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148148, here are decompositions:

  • 127 + 148021 = 148148
  • 151 + 147997 = 148148
  • 199 + 147949 = 148148
  • 211 + 147937 = 148148
  • 229 + 147919 = 148148
  • 337 + 147811 = 148148
  • 349 + 147799 = 148148
  • 379 + 147769 = 148148

Showing the first eight; more decompositions exist.

Unicode codepoint
𤊴
CJK Unified Ideograph-242B4
U+242B4
Other letter (Lo)

UTF-8 encoding: F0 A4 8A B4 (4 bytes).

Hex color
#0242B4
RGB(2, 66, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.66.180.

Address
0.2.66.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.66.180

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 148,148 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.